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Finding the Third Proportional to 74,436 and 106,119

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Solution

The third proportional to 74,436 and 106,119 is: 151,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,436 : 106,119 = 106,119 : x
  2. Step 2: Convert to fraction form
    74,436/106,119 = 106,119/x
  3. Step 3: Cross multiply
    74,436x = 106,119 × 106,119
  4. Step 4: Simplify right side
    74,436x = 11,261,242,161
  5. Step 5: Solve for x
    x = 11,261,242,161/74,436
  6. Step 6: Final answer
    x = 151,287.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.